Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
45356	SO5adj1nf2	${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{2}^{4}$	1.8119	1.9369	0.9355	[X:[], M:[0.8571, 1.1429, 0.7857], q:[0.4286, 0.5], qb:[], phi:[0.3571]]	[X:[], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]]	0	{a: 2841/1568, c: 3037/1568, M1: 6/7, M2: 8/7, M3: 11/14, q1: 3/7, q2: 1/2, phi1: 5/14}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }M_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}q_{2}^{2}$, ${ }q_{1}^{2}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }q_{1}q_{2}^{3}$	${2}\phi_{1}^{3}q_{1}q_{2}$	2	t^2.14 + t^2.36 + t^2.57 + t^2.79 + t^3. + t^3.43 + t^3.86 + 2*t^4.29 + t^4.5 + 3*t^4.71 + 3*t^4.93 + 4*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 + 2*t^6. + t^6.21 + 4*t^6.43 + 2*t^6.64 + 4*t^6.86 + 5*t^7.07 + 8*t^7.29 + 7*t^7.5 + 10*t^7.71 + 5*t^7.93 + 7*t^8.14 + 2*t^8.36 + 7*t^8.57 + 3*t^8.79 - t^4.07/y - t^5.36/y - t^5.57/y - (2*t^6.21)/y - t^6.43/y - t^6.64/y - t^6.86/y - t^7.07/y - t^7.5/y - t^7.71/y - (3*t^8.36)/y - t^8.79/y - t^4.07*y - t^5.36*y - t^5.57*y - 2*t^6.21*y - t^6.43*y - t^6.64*y - t^6.86*y - t^7.07*y - t^7.5*y - t^7.71*y - 3*t^8.36*y - t^8.79*y	t^2.14 + t^2.36 + t^2.57 + t^2.79 + t^3. + t^3.43 + t^3.86 + 2*t^4.29 + t^4.5 + 3*t^4.71 + 3*t^4.93 + 4*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 + 2*t^6. + t^6.21 + 4*t^6.43 + 2*t^6.64 + 4*t^6.86 + 5*t^7.07 + 8*t^7.29 + 7*t^7.5 + 10*t^7.71 + 5*t^7.93 + 7*t^8.14 + 2*t^8.36 + 7*t^8.57 + 3*t^8.79 - t^4.07/y - t^5.36/y - t^5.57/y - (2*t^6.21)/y - t^6.43/y - t^6.64/y - t^6.86/y - t^7.07/y - t^7.5/y - t^7.71/y - (3*t^8.36)/y - t^8.79/y - t^4.07*y - t^5.36*y - t^5.57*y - 2*t^6.21*y - t^6.43*y - t^6.64*y - t^6.86*y - t^7.07*y - t^7.5*y - t^7.71*y - 3*t^8.36*y - t^8.79*y

Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
45496	${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{2}^{4}$ + ${ }M_{1}M_{4}$	1.7993	1.9154	0.9394	[X:[], M:[0.8571, 1.1429, 0.7857, 1.1429], q:[0.4286, 0.5], qb:[], phi:[0.3571]]	t^2.14 + t^2.36 + t^2.79 + t^3. + 2*t^3.43 + t^3.86 + 2*t^4.29 + t^4.5 + 2*t^4.71 + 2*t^4.93 + 3*t^5.14 + t^5.36 + 3*t^5.57 + 2*t^5.79 + t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y	detail	{a: 19749/10976, c: 21023/10976, M1: 6/7, M2: 8/7, M3: 11/14, M4: 8/7, q1: 3/7, q2: 1/2, phi1: 5/14}
45462	${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{2}^{4}$ + ${ }M_{2}M_{4}$	1.8244	1.9584	0.9316	[X:[], M:[0.8571, 1.1429, 0.7857, 0.8571], q:[0.4286, 0.5], qb:[], phi:[0.3571]]	t^2.14 + t^2.36 + 2*t^2.57 + t^2.79 + t^3. + t^3.86 + 2*t^4.29 + t^4.5 + 4*t^4.71 + 4*t^4.93 + 6*t^5.14 + 3*t^5.36 + 3*t^5.57 + t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y	detail	{a: 20025/10976, c: 21495/10976, M1: 6/7, M2: 8/7, M3: 11/14, M4: 6/7, q1: 3/7, q2: 1/2, phi1: 5/14}
45453	${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{2}^{4}$ + ${ }M_{4}\phi_{1}^{2}$	1.7916	1.8988	0.9436	[X:[], M:[0.8571, 1.1429, 0.7857, 1.2857], q:[0.4286, 0.5], qb:[], phi:[0.3571]]	t^2.36 + t^2.57 + t^2.79 + t^3. + t^3.43 + 2*t^3.86 + t^4.29 + 2*t^4.71 + 2*t^4.93 + 3*t^5.14 + 2*t^5.36 + 2*t^5.57 + t^5.79 + t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y	detail	{a: 19665/10976, c: 20841/10976, M1: 6/7, M2: 8/7, M3: 11/14, M4: 9/7, q1: 3/7, q2: 1/2, phi1: 5/14}
45465	${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{2}^{4}$ + ${ }M_{4}q_{1}q_{2}$	1.8053	1.9258	0.9374	[X:[], M:[0.8571, 1.1429, 0.7857, 1.0714], q:[0.4286, 0.5], qb:[], phi:[0.3571]]	t^2.14 + t^2.36 + t^2.57 + t^3. + t^3.21 + t^3.43 + t^3.86 + 2*t^4.29 + t^4.5 + 3*t^4.71 + 2*t^4.93 + 3*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 + 2*t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y	detail	{a: 158517/87808, c: 169101/87808, M1: 6/7, M2: 8/7, M3: 11/14, M4: 15/14, q1: 3/7, q2: 1/2, phi1: 5/14}

Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
45161	SO5adj1nf2	${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$	1.8161	1.9456	0.9335	[X:[], M:[0.8369, 1.1631, 0.7908], q:[0.4184, 0.4645], qb:[], phi:[0.3723]]	t^2.23 + t^2.37 + t^2.51 + t^2.65 + t^2.79 + t^3.49 + t^3.77 + 2*t^4.47 + t^4.61 + 3*t^4.74 + 3*t^4.88 + 4*t^5.02 + 2*t^5.16 + 2*t^5.3 + t^5.44 + t^5.57 + t^5.72 + t^6. - t^4.12/y - t^5.37/y - t^5.51/y - t^4.12*y - t^5.37*y - t^5.51*y	detail